Solution:
1. Start with the given equation:
2.01c - 6 = -0.15c + 6.96
2. Move all terms involving c to one side by adding 0.15c to both sides:
2.01c + 0.15c = 6.96 + 6
3. Simplify the equation:
2.16c = 12.96
4. Solve for c by dividing both sides by 2.16:
c = \frac{12.96}{2.16}
5. Calculate the value:
c = 6